Enter function: With the function that you entered of tan(x), plot points, determine the intercepts, domain, range
Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = tan(x)
Determine function type: Since we have one of the standard trigonometric functions:
this is a
trigonometric function
Now Plot points from pi/6 to 2pi x Plug in x ƒ(x) = tan(x) Ordered Pair 2π tan([2π ]) -2.4492935982947E-16 (2π, -2.4492935982947E-16) 11π/6 tan([11π/6 ]) -0.57735026918963 (11π/6, -0.57735026918963) 7i/4 tan([7i/4 ]) -1 (7i/4, -1) 5π/3 tan([5π/3 ]) -1.7320508075689 (5π/3, -1.7320508075689) 3π/2 tan([3π/2 ]) 5.4437464510651E+15 (3π/2, 5.4437464510651E+15) 4π/3 tan([4π/3 ]) 1.7320508075689 (4π/3, 1.7320508075689) 5π/4 tan([5π/4 ]) 1 (5π/4, 1) 7π/6 tan([7π/6 ]) 0.57735026918963 (7π/6, 0.57735026918963) π tan([π ]) -1.2246467991474E-16 (π, -1.2246467991474E-16) 5π/6 tan([5π/6 ]) -0.57735026918963 (5π/6, -0.57735026918963) 3π/4 tan([3π/4 ]) -1 (3π/4, -1) 2π/3 tan([2π/3 ]) -1.7320508075689 (2π/3, -1.7320508075689) π/2 tan([π/2 ]) 1.6331239353195E+16 (π/2, 1.6331239353195E+16) π/3 tan([π/3 ]) 1.7320508075689 (π/3, 1.7320508075689) π/4 tan([π/4 ]) 1 (π/4, 1) π/6 tan([π/6 ]) 0.57735026918963 (π/6, 0.57735026918963)
Determine the y-intercept: The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0.57735026918963
Determine the x-intercept The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0
Determine the domain of the function: The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Number
Determine the range of the function: The range is all the possible values of y or ƒ(x) that can exist
The range is (-∞, ∞) or All Real Number
(2π, -2.4492935982947E-16) (11π/6, -0.57735026918963) (7i/4, -1) (5π/3, -1.7320508075689) (3π/2, 5.4437464510651E+15) (4π/3, 1.7320508075689) (5π/4, 1) (7π/6, 0.57735026918963) (π, -1.2246467991474E-16) (5π/6, -0.57735026918963) (3π/4, -1) (2π/3, -1.7320508075689) (π/2, 1.6331239353195E+16) (π/3, 1.7320508075689) (π/4, 1) (π/6, 0.57735026918963)
You have 2 free calculationss remaining
What is the Answer?
(2π, -2.4492935982947E-16) (11π/6, -0.57735026918963) (7i/4, -1) (5π/3, -1.7320508075689) (3π/2, 5.4437464510651E+15) (4π/3, 1.7320508075689) (5π/4, 1) (7π/6, 0.57735026918963) (π, -1.2246467991474E-16) (5π/6, -0.57735026918963) (3π/4, -1) (2π/3, -1.7320508075689) (π/2, 1.6331239353195E+16) (π/3, 1.7320508075689) (π/4, 1) (π/6, 0.57735026918963)
How does the Function Calculator work?
Free Function Calculator - Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist. This calculator has 1 input.
What 5 formulas are used for the Function Calculator?
The y-intercept is found when x is set to 0
The x-intercept is found when y is set to 0
The domain represents all values of x that you can enter
The range is all the possible values of y or ƒ(x) that can exist
VIDEO For more math formulas, check out our
Formula Dossier
What 4 concepts are covered in the Function Calculator?
domain Set of all possible input values which makes the output value of a function valid function relation between a set of inputs and permissible outputs ƒ(x) ordered pair A pair of numbers signifying the location of a point (x, y) range Difference between the largest and smallest values in a number set
Example calculations for the Function Calculator Tags: Add This Calculator To Your Website